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Finding the Fourth Proportional to 641.09, 961.01 and 409.32

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Solution

The fourth proportional to 641.09, 961.01 and 409.32 is: 613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.09 : 961.01 = 409.32 : x
  2. Step 2: Convert to fraction form
    641.09/961.01 = 409.32/x
  3. Step 3: Cross multiply
    641.09x = 961.01 × 409.32
  4. Step 4: Simplify right side
    641.09x = 393,358.57
  5. Step 5: Solve for x
    x = 393,358.57/641.09
  6. Step 6: Final answer
    x = 613.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.